Question

How do you simplify `sqrt(2c^2)*sqrt(8c)`?

Answer 1

`4|c|sqrtc`

Explanation:

Note that: `sqrta*sqrtb= sqrt(ab)`

So:
`sqrt(2c^2)(8c)= sqrt(2c^2*8c)`

Therefore:
`sqrt(16c^3)`

`sqrt(16c^2*c)`

`4|c|sqrtc`